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Finding the Fourth Proportional to 317.00, 473.24 and 276

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Solution

The fourth proportional to 317.00, 473.24 and 276 is: 412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.00 : 473.24 = 276 : x
  2. Step 2: Convert to fraction form
    317.00/473.24 = 276/x
  3. Step 3: Cross multiply
    317.00x = 473.24 × 276
  4. Step 4: Simplify right side
    317.00x = 130,612.86
  5. Step 5: Solve for x
    x = 130,612.86/317.00
  6. Step 6: Final answer
    x = 412.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.